In one town in British Columbia,only 27% of days are sunny.A company's records indicate that on sunny days 2.2% of employees will call in sick.When it is not sunny,1.2% of employees will call in sick.What percent of calls (where an employee calls in sick)occur on sunny days?
A)27%
B)59.6%
C)67.8%
D)40.4%
E)2.2%

Question

Quizplus · Accepted Answer

To find the percentage of sick calls that occur on sunny days, use Bayes' theorem. Calculate the probability of a sick call on a sunny day (0.27 * 0.022) and on a non-sunny day (0.73 * 0.012). The probability of a sick call on a sunny day is 0.00594, and on a non-sunny day is 0.00876. The total probability of a sick call is 0.00594 + 0.00876 = 0.0147. The probability that a sick call is on a sunny day is 0.00594 / 0.0147 = 0.404, or 40.4%.

In One Town in British Columbia,only 27% of Days Are